Phase lapses in scattering through multi-electron quantum dots: Mean-field and few-particle regimes

Abstract

We show that the observed evolution of the transmission phase through multi-electron quantum dots with more than approximately ten electrons, which shows a universal (i.e., independent of N) as yet unexplained behavior, is consistent with an electrostatic model, where electron-electron interaction is described by a mean-field approach. Moreover, we perform exact calculations for an open 1D quantum dot and show that carrier correlations may give rise to a non-universal (i.e., N-dependent) behavior of the transmission phase, ensuing from Fano resonances, which is consistent with experiments with a few (N < 10) carriers. Our results suggest that in the universal regime the coherent transmission takes place through a single level while in the few-particle regime the correlated scattering state is determined by the number of bound particles.

14 pages, 3 figures, RevTex4 preprint format, to appear in Phys. Rev. B

References in corpus (13)

• Phase Evolution in a Kondo Correlated System
• Aharonov-Bohm oscillations in a mesoscopic ring with a quantum dot
• Resonance Lineshapes in Quasi-One-Dimensional Scattering
• Crossover from mesoscopic to universal phase for electron transmission in quantum dots
• Phase coherent transmission through interacting mesoscopic systems
• Towards an Explanation of the Mesoscopic Double-Slit Experiment: a new model for charging of a Quantum Dot
• Scattering phases in quantum dots: an analysis based on lattice models
• Electron Scattering Through a Quantum Dot: A Phase Lapse Mechanism
• Mesoscopic to universal crossover of transmission phase of multi-level quantum dots
• Fano effect in a ring-dot system with tunable coupling
• Ground-state energy of the electron liquid in ultrathin wires
• The Enhanced Sensitivity of the Transmission Phase of a Quantum Dot to Kondo Correlations
• Friedel sum rule for an interacting multiorbital quantum dot

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• Carrier-carrier entanglement and transport resonances in semiconductor quantum dots
• Non-universal transmission phase behaviour of a large quantum dot
• On demand entanglement in double quantum dots via coherent carrier scattering
• Mesoscopic behavior of the transmission phase through confined correlated electronic systems
• Analyzing the measured phase in the multichannel Aharonov-Bohm interferometer
• Exchange and correlation effects in the transmission phase through a few-electron quantum dot
• Mesoscopic phase behavior in a quantum dot around crossover between single-level and multilevel transport regimes
• Effect of quasi-bound states on coherent electron transport in twisted nanowires
• Embedding method for the scattering phase in strongly correlated quantum dots
• Entanglement creation in semiconductor quantum dot charge qubit